If the resistance of a conductivity cell filled with a solution of an electrolyte of concentration 0.1 M is $100 \Omega$ and the conductivity of this solution is $1.29 {\mathrm{Sm}}^{-1}$. Resistance of the same cell filled with $0.2 \mathrm{M}$ of the same solution is $520 \Omega$. Calculate the molar conductivity of 0.02 M solution of the electrolyte.

The equivalent conductance of $\mathrm{NaCl}$ at concentration $\mathrm{C}$ and at infinite dilution are ${\mathrm{\lambda }}_{\mathrm{c}}$and ${\mathrm{\lambda }}_{\infty }$ respectively. The correct relationship between ${\mathrm{\lambda }}_{\mathrm{c}}$ and ${\mathrm{\lambda }}_{\infty }$ is given as (where, the constant $\mathrm{B}$ is positive)

Calculate ${{\mathrm{\Lambda }}^{°}}_{\mathrm{HOAC}}$ using appropriate molar conductances of the electrolytes listed above at infinite dilution in the water at 25$°\mathrm{C}$.

The $\mathrm{EMF}$. of a Daniell cell at $298\mathrm{K}$ is ${\mathrm{E}}_1$

$\mathrm{Zn}\left|\begin{array}{l}{\mathrm{ZnSO}}_4\\ (0.01 \mathrm{M})\end{array}\right|\left|\begin{array}{l}{\mathrm{CuSO}}_4\\ (1.0 \mathrm{M})\end{array}\right|\mathrm{Cu}$
When the concentration of ${\mathrm{ZnSO}}_4$ is $1.0 \mathrm{M}$ and that of ${\mathrm{CuSO}}_4$ is $0.01 \mathrm{M}$, the $\mathrm{EMF}$ changed to ${\mathrm{E}}_2.$ What is the relationship between ${\mathrm{E}}_1$ and ${\mathrm{E}}_2?$

The reduction potential of hydrogen half-cell will be negative if: